Test comes back positive


A test to find out whether a certain antibody is present is 99.2% effective. This means that test will accurately come back negative if the antibody isn't present. The probability of the test coming back positive when antibody isn't present (a false positive) is 0.008. Assume the test is given to five randomly chosen people who don't have the antibody. (a) Determine the probability that the test comes back negative for all five people? (b) Determine the probability that the test comes back positive for at least one of the five people?

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Basic Statistics: Test comes back positive
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